IMPACT OF THREE DIMENSIONAL VARIABLE CONFIGURATION SCHEME ON SIMULATION OF INERTIA GRAVITATIONAL WAVE WITH DISPERSION PROPERTIES

Zhu Hongwei; Liu Yudi

Vol.14, NO.5, 2003

Article Contents

Article Navigation > Journal of Applied Meteorological Science > 2003 > 14(5): 533-541

Zhu Hongwei, Liu Yudi. Impact of three dimensional variable configuration scheme on simulation of inertia gravitational wave with dispersion properties. J Appl Meteor Sci, 2003, 14(5): 533-541.

Citation:

Zhu Hongwei, Liu Yudi. Impact of three dimensional variable configuration scheme on simulation of inertia gravitational wave with dispersion properties. J Appl Meteor Sci, 2003, 14(5): 533-541.

Zhu Hongwei, Liu Yudi. Impact of three dimensional variable configuration scheme on simulation of inertia gravitational wave with dispersion properties. J Appl Meteor Sci, 2003, 14(5): 533-541.

Citation:

Zhu Hongwei, Liu Yudi. Impact of three dimensional variable configuration scheme on simulation of inertia gravitational wave with dispersion properties. J Appl Meteor Sci, 2003, 14(5): 533-541.

PDF( 391 KB)

IMPACT OF THREE DIMENSIONAL VARIABLE CONFIGURATION SCHEME ON SIMULATION OF INERTIA GRAVITATIONAL WAVE WITH DISPERSION PROPERTIES

Institute of Meteorology, PLA University of Sciences and Technology, Nanjing 211101

Received Date: 2002-07-08
Rev Recd Date: 2002-10-09
Publish Date: 2003-10-31

Abstract

Abstract

In the framework of linear baroclinic primitive equations, calculation is undertaken for dispersion of inertia gravitational waves in different kinds of 3D (three-dimensional) grids from the perspective of frequency and group velocity, and the reason of the deviation in various grids is analyzed. The results indicate that such 3D structures as C/CP (horizontal grids with Arakawa C grids, and vertical with Charney-Phillips) and Z/LZ (horizontal grids with Z grids, and vertical with LZ) are superior to others in the computational dispersion properties, thereby providing a guidance to the selection of 3D grids applicable to atmospheric primitive equation models.
- 3D grid;
- Inertial gravitational wave;
- Dispersion property;
- Simulation

FullText(HTML)

References(13)

Figures and Tables

图 1 各种三维网格的变量配置图

DownLoad: Full-Size Img PowerPoint

图 2 各种三维网格的频率图

(图中x方向的坐标为kΔx，y方向的坐标为r Δζ，垂直坐标为)

DownLoad: Full-Size Img PowerPoint

图 3 各种三维网格的频率相对误差图

(水平方向的坐标与图 2的相同，垂直坐标为相对误差)

DownLoad: Full-Size Img PowerPoint

图 4 各种三维网格的水平群速相对误差图

(水平方向的坐标与图 2的相同，垂直坐标为相对误差)

DownLoad: Full-Size Img PowerPoint

图 5 各种三维网格的垂直群速相对误差图

(水平方向的坐标与图 2的相同，垂直坐标为相对误差)

DownLoad: Full-Size Img PowerPoint

References

[1]	Winninghoff F J. On the adjustment toward a geostrophic balance in a simple primitive equation model with application to the problems of initialization and objective analysis: [Ph D. thesis]. Los Angeles: University of California, 1968.
[2]	刘宇迪, 祁桂军, 李昕东, 等.水平网格计算频散性的研究.应用气象学报, 2001, 12(2): 140-149. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20010220&flag=1
[3]	刘宇迪, 朱红伟.垂直网格计算频散性的研究.应用气象学报, 2001, 12(3): 348-357. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20010346&flag=1
[4]	刘宇迪, 季仲贞, 祁桂军, 等.几种垂直跳点网格计算频散性的对比研究.大气科学, 2001, 25(4): 523-535. http://www.cnki.com.cn/Article/CJFDTOTAL-DQXK200104008.htm
[5]	Liu Yudi, Ji Zhongzhen, Wang Bin. Computational dispersion properties of vertical staggered grids in nonhydrostatical models. Adv. Atmos. Sci, 2002, 19(3): 528-543. doi: 10.1007/s00376-002-0084-y
[6]	刘宇迪.垂直变量配置与惯性重力波的模拟.解放军理工大学学报 (自然科学版), 2001, 2(6): 86-89. http://www.cnki.com.cn/Article/CJFDTOTAL-JFJL200106021.htm
[7]	刘宇迪, 季仲贞, 朱红伟, 等.水平网格对Rossby的影响.气象学报, 2002, 60(1): 76-84. http://www.cnki.com.cn/Article/CJFDTOTAL-QXXB200201008.htm
[8]	Arakawa A, Lamb V R. Computational dynamical processes of the UTLA general circulation model. In: Chang J. Ed. Methods in Computational Physics. Academic Press, 1977. 173-265.
[9]	Rondall D A. Geostrophic adjustment and the finite difference shallow water equations. Monthly Weather Review, 1994, 122: 1371-1377. doi: 10.1175/1520-0493(1994)122<1371:GAATFD>2.0.CO;2
[10]	Collatz L. The numerical treatment of differential equations. New York: Springer-Verlag, 1966.
[11]	Fox-Rabinovitz M. Computational dispersion of horizontal staggered grids for atmospheric and ocean models. Mon.Wea. Rev, 1991, 119: 1624-1639. doi: 10.1175/1520-0493(1991)119<1624:CDPOHS>2.0.CO;2
[12]	Song Y, Tang T. Dispersion and group velocity in numerical schemes for three-dimensional hydrodynamic equation. J. Comput. Phys., 1993, 105: 72-82. doi: 10.1006/jcph.1993.1054
[13]	Wajsowicz R C. Free planetary waves in finite-difference numerical models. J. Phys. Oceanogr. 1986, 16:773-789. doi: 10.1175/1520-0485(1986)016<0773:FPWIFD>2.0.CO;2